Connections: The Geometric Bridge between Art and Science (2nd Edition) / Edition 2

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The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in "Mathematics, Chemistry, and Astronomy - Professional and Reference" in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
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Editorial Reviews

From The Critics
This is a new edition of a reference that brings together material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry in order to demonstrate that the grammar of space can be the basis of a common language that spans the scientific and artistic worlds. Kappraff (New Jersey Institute of Technology) presents 12 chapters that discuss both theory and practice. New material includes a supplementary section that contains the recent work of Haresh Lalvani, as well as additional material on the snub figure, uniform polyhedra, and the Dorman Luke method of constructing the faces of dual polyhedra. Can be used both by professionals and as a textbook. Contains about 750 b&w illustrations. Annotation c. Book News, Inc., Portland, OR (
Kappraff (math, New Jersey Institute of Technology) illustrates how the properties of symmetry, proportion, connectivity, and stability are involved in the creation of beautiful designs, structures, and objects--how mathematics serves as a foundation of design science. Accessible to non-mathematicians. Useful as a text for design courses. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9789810245863
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 6/1/2001
  • Series: Series on Knots and Everything
  • Edition description: Second Edition
  • Edition number: 2
  • Pages: 486
  • Product dimensions: 6.00 (w) x 8.50 (h) x 1.10 (d)

Table of Contents

Preface to the Second Edition
Ch. 1 Proportion in Architecture 1
Ch. 2 Similarity 35
Ch. 3 The Golden Mean 75
Ch. 4 Graphs 105
Ch. 5 Tiling with Polygons 167
Ch. 6 Two-Dimensional Networks and Lattices 209
Ch. 7 Polyhedra: Platonic Solids 255
Ch. 8 Transformation of the Platonic Solids I 295
Ch. 9 Transformation of the Platonic Solids II 327
Ch. 10 Polyhedra: Space Filling 347
Ch. 11 Isometries and Mirrors 383
Ch. 12 Symmetry of the Plane 405
Epilogue 453
References 455
Index 463
Supplements 473
New References for the Second Edition 487
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